5x2+100=60x

Solution for 5x2+100=60x equation:

5x^2+100=60x

We move all terms to the left:

5x^2+100-(60x)=0

a = 5; b = -60; c = +100;
Δ = b2-4ac
Δ = -602-4·5·100
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-40}{2*5}=\frac{20}{10}
=2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+40}{2*5}=\frac{100}{10}
=10
$